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Finding the Third Proportional to 273,861 and 597,543

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Solution

The third proportional to 273,861 and 597,543 is: 1,303,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,861 : 597,543 = 597,543 : x
  2. Step 2: Convert to fraction form
    273,861/597,543 = 597,543/x
  3. Step 3: Cross multiply
    273,861x = 597,543 × 597,543
  4. Step 4: Simplify right side
    273,861x = 357,057,636,849
  5. Step 5: Solve for x
    x = 357,057,636,849/273,861
  6. Step 6: Final answer
    x = 1,303,791.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.